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Lateral Edge of Isosceles Trapezoid given Long and Short Base Formula

GoLateral Edge of Isosceles Trapezoid given Height and Acute Angle Formula

GoLateral Edge of Isosceles Trapezoid given Diagonal Formula

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Lateral Edge of Isosceles Trapezoid is the length of the pair of opposite and non parallel edges of the Isosceles Trapezoid. Check FAQs

l e(Lateral) = \frac{B Long - B Short}{2 \cdot \cos (∠ Acute)}

l_e(Lateral) - Lateral Edge of Isosceles Trapezoid?B_Long - Long Base of Isosceles Trapezoid?B_Short - Short Base of Isosceles Trapezoid?∠_Acute - Acute Angle of Isosceles Trapezoid?

Lateral Edge of Isosceles Trapezoid given Long and Short Base Example

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Here is how the Lateral Edge of Isosceles Trapezoid given Long and Short Base equation looks like with Values.

Here is how the Lateral Edge of Isosceles Trapezoid given Long and Short Base equation looks like with Units.

Here is how the Lateral Edge of Isosceles Trapezoid given Long and Short Base equation looks like.

5.2303 = \frac{15 - 9}{2 \cdot \cos (55)}

5.2303m = \frac{15m - 9m}{2 \cdot \cos (55°)}

5.2303 = \frac{15 - 9}{2 \cdot \cos (55)}

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Lateral Edge of Isosceles Trapezoid given Long and Short Base Solution

Follow our step by step solution on how to calculate Lateral Edge of Isosceles Trapezoid given Long and Short Base?

FIRST Step Consider the formula

l e(Lateral) = \frac{B Long - B Short}{2 \cdot \cos (∠ Acute)}

Next Step Substitute values of Variables

∴

l e(Lateral) = \frac{15m - 9m}{2 \cdot \cos (55°)}

Next Step Convert Units

∴

l e(Lateral) = \frac{15m - 9m}{2 \cdot \cos (0.9599rad)}

Next Step Prepare to Evaluate

∴

l e(Lateral) = \frac{15 - 9}{2 \cdot \cos (0.9599)}

Next Step Evaluate

∴

l e(Lateral) = 5.23034038686195m

LAST Step Rounding Answer

∴

l e(Lateral) = 5.2303m

Lateral Edge of Isosceles Trapezoid given Long and Short Base Formula Elements

Variables

Functions

Lateral Edge of Isosceles Trapezoid

Lateral Edge of Isosceles Trapezoid is the length of the pair of opposite and non parallel edges of the Isosceles Trapezoid.

Symbol: l_e(Lateral)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Lateral Edge of Isosceles Trapezoid

Long Base of Isosceles Trapezoid

Long Base of Isosceles Trapezoid is the longer side among the pair of parallel sides of the Isosceles Trapezoid.

Symbol: B_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Base of Isosceles Trapezoid

Short Base of Isosceles Trapezoid

Short Base of Isosceles Trapezoid is the shorter side among the pair of parallel sides of the Isosceles Trapezoid.

Symbol: B_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Base of Isosceles Trapezoid

Acute Angle of Isosceles Trapezoid

Acute Angle of Isosceles Trapezoid is any of the angles on the longer base edge made with the lateral and non parallel edges of the Isosceles Trapezoid.

Symbol: ∠_Acute

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Acute Angle of Isosceles Trapezoid

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Lateral Edge of Isosceles Trapezoid

Go Lateral Edge of Isosceles Trapezoid given Height and Acute Angle

l e(Lateral) = \frac{h}{\sin (∠ Acute)}

Go Lateral Edge of Isosceles Trapezoid given Diagonal

l e(Lateral) = \sqrt{d^{2} - (B Long \cdot B Short)}

Other formulas in Lateral Edge of Isosceles Trapezoid category

Go Long Base of Isosceles Trapezoid given Area

B Long = \frac{2 \cdot A}{h} - B Short

Go Long Base of Isosceles Trapezoid given Diagonal

B Long = \frac{d^{2} - {l e(Lateral)}^{2}}{B Short}

Go Long Base of Isosceles Trapezoid given Height

B Long = B Short + (2 \cdot h \cdot \cot (∠ Acute))

Go Long Base of Isosceles Trapezoid given Lateral Edge

B Long = B Short + (2 \cdot l e(Lateral) \cdot \cos (∠ Acute))

How to Evaluate Lateral Edge of Isosceles Trapezoid given Long and Short Base?

Lateral Edge of Isosceles Trapezoid given Long and Short Base evaluator uses Lateral Edge of Isosceles Trapezoid = (Long Base of Isosceles Trapezoid-Short Base of Isosceles Trapezoid)/(2*cos(Acute Angle of Isosceles Trapezoid)) to evaluate the Lateral Edge of Isosceles Trapezoid, Lateral Edge of Isosceles Trapezoid given Long and Short Base formula is defined as the length of the pair of opposite and non parallel edges of the Isosceles Trapezoid, and calculated using long and short base of the Isosceles Trapezoid. Lateral Edge of Isosceles Trapezoid is denoted by l_e(Lateral) symbol.

How to evaluate Lateral Edge of Isosceles Trapezoid given Long and Short Base using this online evaluator? To use this online evaluator for Lateral Edge of Isosceles Trapezoid given Long and Short Base, enter Long Base of Isosceles Trapezoid (B_Long), Short Base of Isosceles Trapezoid (B_Short) & Acute Angle of Isosceles Trapezoid (∠_Acute) and hit the calculate button.

FAQs on Lateral Edge of Isosceles Trapezoid given Long and Short Base

What is the formula to find Lateral Edge of Isosceles Trapezoid given Long and Short Base?

The formula of Lateral Edge of Isosceles Trapezoid given Long and Short Base is expressed as Lateral Edge of Isosceles Trapezoid = (Long Base of Isosceles Trapezoid-Short Base of Isosceles Trapezoid)/(2*cos(Acute Angle of Isosceles Trapezoid)). Here is an example- 5.23034 = (15-9)/(2*cos(0.959931088596701)).

How to calculate Lateral Edge of Isosceles Trapezoid given Long and Short Base?

With Long Base of Isosceles Trapezoid (B_Long), Short Base of Isosceles Trapezoid (B_Short) & Acute Angle of Isosceles Trapezoid (∠_Acute) we can find Lateral Edge of Isosceles Trapezoid given Long and Short Base using the formula - Lateral Edge of Isosceles Trapezoid = (Long Base of Isosceles Trapezoid-Short Base of Isosceles Trapezoid)/(2*cos(Acute Angle of Isosceles Trapezoid)). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Lateral Edge of Isosceles Trapezoid?

Here are the different ways to Calculate Lateral Edge of Isosceles Trapezoid-

Lateral Edge of Isosceles Trapezoid=Height of Isosceles Trapezoid/(sin(Acute Angle of Isosceles Trapezoid))
Lateral Edge of Isosceles Trapezoid=sqrt(Diagonal of Isosceles Trapezoid^2-(Long Base of Isosceles Trapezoid*Short Base of Isosceles Trapezoid))

Can the Lateral Edge of Isosceles Trapezoid given Long and Short Base be negative?

No, the Lateral Edge of Isosceles Trapezoid given Long and Short Base, measured in Length cannot be negative.

Which unit is used to measure Lateral Edge of Isosceles Trapezoid given Long and Short Base?

Lateral Edge of Isosceles Trapezoid given Long and Short Base is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Lateral Edge of Isosceles Trapezoid given Long and Short Base can be measured.

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Lateral Edge of Isosceles Trapezoid given Long and Short Base Formula

​GoLateral Edge of Isosceles Trapezoid given Height and Acute Angle Formula

​GoLateral Edge of Isosceles Trapezoid given Diagonal Formula

Lateral Edge of Isosceles Trapezoid given Long and Short Base Example

Lateral Edge of Isosceles Trapezoid given Long and Short Base Solution

Lateral Edge of Isosceles Trapezoid given Long and Short Base Formula Elements

Other Formulas to find Lateral Edge of Isosceles Trapezoid

Other formulas in Lateral Edge of Isosceles Trapezoid category

How to Evaluate Lateral Edge of Isosceles Trapezoid given Long and Short Base?

FAQs on Lateral Edge of Isosceles Trapezoid given Long and Short Base

Variable Name

GoLateral Edge of Isosceles Trapezoid given Height and Acute Angle Formula

GoLateral Edge of Isosceles Trapezoid given Diagonal Formula